Rabbits?

I am a VERY amateur gardener (flowers). I just moved and planted various perennials in the front of my house. I started to notice that gradually, the tops of certain plants were severed, and/or the leaves of certain plants were coming up missing. The trumpet vine I planted looks like it was gnawed off at the base. I am beginning to suspect that the bunnies in my yard are more than just cute. 1. Does this sound like the bunnies are the culprits? 2. If so, what do you all suggest?